Finding the Fourth Proportional to 22,513,678,868,198, 31,067,171,783,644 and 12,635,014,466,055
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Solution
The fourth proportional to 22,513,678,868,198, 31,067,171,783,644 and 12,635,014,466,055 is: 17,435,363,060,998.31
Step by Step Solution
- Step 1: Write the proportion equation
22,513,678,868,198 : 31,067,171,783,644 = 12,635,014,466,055 : x - Step 2: Convert to fraction form
22,513,678,868,198/31,067,171,783,644 = 12,635,014,466,055/x - Step 3: Cross multiply
22,513,678,868,198x = 31,067,171,783,644 × 12,635,014,466,055 - Step 4: Simplify right side
22,513,678,868,198x = 392,534,164,905,757,663,779,880,960 - Step 5: Solve for x
x = 392,534,164,905,757,663,779,880,960/22,513,678,868,198 - Step 6: Final answer
x = 17,435,363,060,998.31
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.